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We study the feedback stabilization of interconnected switched control-affine systems with both input-to-state stable (ISS) and non-ISS modes. Provided that the switching is slow in the sense of average dwell-time and the active time of non-ISS modes is short in proportion, suitable feedback controls are designed to achieve input-to-state practical stability (ISpS) with an arbitrarily small constant...
This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems...
This paper develops a new decentralized event-triggered control strategy for large-scale nonlinear systems. The control systems are assumed to be transformable into an interconnection of input-to-state stable (ISS) subsystems with the sampling errors as the inputs. For the subsystems, the events of data sampling are triggered by appropriately choosing threshold signals, which are independent with...
This paper presents a cyclic-small-gain approach to distributed control of nonlinear multi-agent systems in the strict-feedback form for output agreement. Through a novel nonlinear control law design, the output agreement problem is transformed into a stabilization problem, and the closed-loop multi-agent system is transformed into a large-scale system composed of input-to-output stable (IOS) subsystems...
This paper presents a new method for robust control of a class of uncertain nonlinear systems in strict-feedback form with state measurement errors. The measurement feedback control problem is solved by recursively designing input-to-state stability (ISS) induced nonlinear state estimators and virtual control laws. With the gain assignment technique, the closed-loop system can be transformed into...
This paper presents a fundamentally novel approach to quantized output-feedback control of nonlinear systems. The advances made toward this challenging, yet important, problem are a seamless integration of dynamic quantization and the recently developed cyclic-small-gain theorem. The constructed output-feedback quantized controller guarantees the input-to-state stability (ISS) property for the closed-loop...
In this paper, we consider the feedback stabilization problem of impulsive linear control systems with quantized input signals and quantized output signals. Some concepts including quasi-invariant sets and attracting sets for hybrid impulsive quantized systems are investigated. Based on these concepts and the analysis of related dynamic properties, we propose hybrid quantized control schemes to stabilize...
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