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This appendix introduces the proofs of Property 1 and 2 related to the discretization scheme; and a new compact kernel that we use throughout our method.
In recent work the authors combined integral-quadratic-constraint (IQC) based analysis with ??-gap metric based analysis to study the robustness of feedback interconnections of possibly unstable rational transfer functions. This is extended here to the case of irrational transfer functions without pure delays. Specifically, we restrict attention to the sub-algebra of Callier-Desoer class transfer...
When designing robust controllers, H∞ synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. However, if a constraint on the maximum order of the controller is set, that is lower than the order of the (augmented) system, the problem becomes nonconvex and it is relatively hard to solve. These problems...
Trust is a fundamental issue in Pervasive computing, especially when they are applied in unstructured P2P systems. The computational models of trust play an important role in determining who and how to interact in open and dynamic environments. However, current models are not efficient or scalable enough with the expansion of system. To this end, a computation trust model with confidence is proposed...
Hard constrained optimization problems in science and engineering are common computationally very expensive. This leads to serious impediment to the successful application of evolutionary optimization techniques. A modified Differential Evolution with hybrid mutation and new selection rules was proposed to solve the hard constrained optimization problem. The hybrid mutation is the linear combination...
Many real world problems which can be assigned to the machine learning domain are inverse problems. The available data is often noisy and may contain outliers, which requires the application of global optimization. Evolutionary Algorithms (EA's) are one class of possible global optimization methods for solving such problems. Within population based EA's, Differential Evolution (DE) is a widely used...
This paper is focused on the problem of uncertain process control by using RMPC (robust model predictive control). A relevant class of RMPC algorithms is the one characterized by the use of the LMI framework. This field started in the middle of nineties and since then several works applying LMIs in the context of RMPC have been proposed. Most of them assume a polytopic representation of the process...
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...
This paper focuses on the analysis of some classes of observers for linear systems with a point-wise delay. First, it is pointed out that, classical interval observers for systems without delays are not robust with respect to the presence of delays that appear in a specific structure location, no matter how small it is. Next, it is shown that, in general, for linear systems classical interval observers...
A new small-gain theorem is presented for general nonlinear control systems described either by ordinary differential equations or by retarded functional differential equations. The novelty of this research work is that vector Lyapunov functions and functionals are utilized to derive various input-to-output stability results. It is shown that the proposed approach recovers several recent results as...
This paper studies the global robust output regulation problem for a class of output feedback systems subject to an uncertain exosystem by using output feedback control. An adaptive control technique is used to handle the unknown parameter vector in the exosystem. It is shown that this unknown parameter vector can be exactly estimated asymptotically if the controller incorporates a minimal internal...
Event-triggered and self-triggered control have recently been proposed as an alternative to periodic implementations of feedback control laws over sensor/actuator networks. In event-triggered control, each sensing node continuously monitors the plant in order to determine if fresh information should be transmitted and if the feedback control law should be recomputed. In general, event-triggered control...
We present a motion descriptor for human action recognition where appearance and shape information are unreliable. Unlike other motion-based approaches, we leverage image characteristics specific to human movement to achieve better robustness and lower computational cost. Drawing on recent work on motion recognition with ballistic dynamics, an action is modeled as a series of short correlated linear...
We consider decision making in a Markovian setup where the reward parameters are not known in advance. Our performance criterion is the gap between the performance of the best strategy that is chosen after the true parameter realization is revealed and the performance of the strategy that is chosen before the parameter realization is revealed. We call this gap the parametric regret. We consider two...
In this work motivated by a hierarchical spatially adaptive image prior that we have developed for additive watermarking; we first, propose a new perceptual mask which improves robustness of additive watermark detectors in the spatial domain. The proposed mask is based on the local image variations along the two principal directions and enhances the watermark's energy while satisfying the imperceptibility...
This paper deals with the robust H∞ filtering problem for discrete-time linear systems with polytopic uncertainties. Differently from existing results, we assume that not only the Lyapunov functions are parameter-dependent in the whole polytope domain, but also the filter is dependent of the parameters which belong to a polytope. Our results contain no constant matrix variable for the entire polytope...
The output-feedback control problem for nonlinear systems with state and input delays is addressed. Both state and input delays are allowed to be time-varying and uncertain. The class of systems considered consists of a nominal system of feedforward form as well as appended dynamics. A delay-independent robust adaptive feedback is designed based on our recent results on dual dynamic high-gain scaling...
In this paper we consider the aggregation problem for the agents with finite size body. Each agent is modeled as a (hyper-)sphere with first-order dynamics. A theory is established for analysis to the problem of cohesion with collision avoidance. Explosion and broken phenomenon is observed in simulation, some robust indices are proposed to investigate the phenomenon.
This paper presents a general uncertain complex singular dynamical network model. Since the nodes of the network are singular systems, the overall network can only be described by a singular model. Due to the flexible of singular systems in describing practical applications, the complex singular dynamical network has more applications than the regular complex network in which the nodes are described...
The problem of the detection of a signal in the presence of broad-band noise and interferences that lie in a subspace that is imperfectly known is considered. It is assumed that a basis (or generating set) of the interference subspace is known up to additive white Gaussian noise. This amounts to assuming that each of these basis vectors lies in a cone, the aperture of which depends upon the level...
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