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This paper investigates the problem of robust stability for a class of uncertain discrete-time stochastic recurrent neural networks (RNNs) with Markovian jumping parameters and mode-dependent delays. Stochastic item is nonlinear, and jumping parameters are considered as discrete time, discrete-state Markov process. We can get novel robust stability conditions in terms of linear matrix inequality (LMI)...
This paper presents a strategy for designing a robust discrete-time adaptive controller for stabilizing continuous-time linear time invariant (LTI) plants. Such plants may be unstable and non-inversely stable. A reduced order plant model is considered to design the adaptive controller. The control design is based on the discretization of the plant with the use of a multirate sampling device with fast...
This paper proposes a method for frequency-weighted discrete-time linear parameter varying (LPV) model reduction with bounded rate of parameter variation, using structurally balanced truncation with a priori (non-tight) upper error bounds for each fixed parameter. For systems with both input and output weighting filters, guaranteed stability of the reduced-order model is proved as well as existence...
This paper considers stability of discrete-time nonlinear systems in Takagi-Sugeno's form. This problem has been studied over twenty years with many sufficient conditions, and asymptotically necessary and sufficient (ANS) conditions in the sense of common quadratic Lyapunov function, having being obtained. This paper considers general forms of homogeneously polynomially nonquadratic Lyapunov (HPNQL)...
We study the stability of an overlapping decentralized estimation scheme in the presence of packet dropouts. Several estimation agents receive local measurement of a discrete-time system over packet-dropping links, and each one constructs its estimate based on the measurements and on the communication with other agents which is also vulnerable to failure. The fusion of estimates at each agent is done...
This paper proposes a new method for designing a digital control system, in which a plant in continuous time is controlled by updating a control input in discrete time. The controlled system is a dual-rate system in which the sampling period is restricted to be double the control period. Hence, a fast-rate control system cannot be obtained, and to obtain a single-rate control system, a designed system...
The state-dependent Riccati equation filter (SDREF) is a recent nonlinear estimation technique which has yielded a number of impressive results. However, the theoretical investigations of the filter have been carried out only in a deterministic environment. In this paper a discrete time difference SDRE-based observer for general nonlinear systems in a stochastic framework is considered, and its error...
This paper considers state feedback stabilization of discrete-time linear systems, where network exists for transmitting the sensor and controller information, and arbitrary bounded packet loss occurs between the sensor and controller, and between the controller and actuator. The sensor and controller send information at each sampling instant. The controller and actuator may or may not receive information...
We establish a unified approach to stability and L2 gain analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for stability of all subsystems, then the...
In this paper, an adaptive generalized predictive control method based on adaptive-network-based fuzzy inference system (ANFIS) and switching control is proposed for a class of discrete-time nonlinear systems with unstable zero-dynamics. ANFIS is used to estimate and compensate the unmodeled dynamics, which overcomes the uncertainty of neural network and avoids the possibility that the network becomes...
Necessary and sufficient stability conditions are given for the existence of a continuous Lyapunov function for a semicontinuous, stochastic discrete-time system. The continuity of the Lyapunov function is linked to robustness of the stability property, which reduces to classical stability plus convergence for deterministic systems. The nature of the Lyapunov results are inspired by Lyapunov results...
The paper studies semi-global practical input-to-state stability (SGP-ISS) of a parameterized family of discrete-time systems that may arise when an approximate discrete-time model of a sampled-data system with disturbances is used for controller design. It is shown under appropriate conditions that if the solutions of the time varying family of discrete-time systems with disturbances converge uniformly...
The stability and stabilization problems for discrete-time piecewise affine singular systems are discussed. A basic linear matrix inequality (LMI) sufficient condition for the systems to be regular, causal and stable is given. With this condition and some inequalities, a LMI stability condition that makes easier the design of the state feedback controller is proposed, and then the state feedback stabilization...
This paper deals with stabilization of networked control systems (NCS) affected by uncertain time-varying delays and data packet dropouts. We point out that such network effects are likely to render the classical control Lyapunov function (CLF) method unfeasible, mainly due to the monotonic decreasing condition. To solve this problem we make use of a discrete-time equivalent of a control Lyapunov-Razumikhin...
We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of Valcher. We also show how Lyapunov functionals can be computed solving a two-variable polynomial equation, and we give necessary and sufficient conditions for the solvability of this equation for scalar systems.
In this paper we study the characterization of asymptotic stability for discrete-time switched linear systems. We first translate the system dynamics into a symbolic setting under the framework of symbolic topology. Then by using the ergodic measure theory, a lower bound estimate of Hausdorff dimension of the set of asymptotically stable sequences is obtained. We show that the Hausdorff dimension...
In this paper, the problems of delay-dependent robust stability analysis and robust stabilization are investigated for uncertain discrete-time singular systems with state delay. First, by making use of the delay partitioning technique, a new delay-dependent criterion is given to ensure the nominal system to be regular, causal and stable. This new criterion is further extended to singular systems with...
In this paper we give conditions that a discrete time switched linear systems must satisfy if it is stable. We do this by calculating the mean and covariance of the set of matrices obtained by using all possible switches. The theory of switched linear systems has received considerable attention in the systems theory literature in the last two decades. However, for discrete time switched systems the...
This paper is concerned with the problem of receding horizon control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a nonlinear feedback policy with respect to noise measurements and show that the resulting mathematical program has a tractable convex solution. Moreover, under the assumption that the zero-input...
In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time controllers are first designed to uniformly exponentially stabilize numerical approximate models that are obtained from space and time discretization. Sufficient conditions are provided to ensure that these controllers can be used to drive trajectories...
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