scholarly journals Necessary and sufficient conditions for stabilisability of discrete‐time time‐varying switched systems

2020 ◽  
Author(s):  
Junjie Lu ◽  
Zhikun She ◽  
Fucheng Liao
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Time Varying ◽  
Necessary And Sufficient

scholarly journals Stability of arbitrarily switched discrete-time linear singular systems of index-1

2018 ◽  
Vol 34 (4) ◽  
Author(s):  
Pham Thi Linh
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Positive Switched Systems ◽  
Necessary And Sufficient ◽  
Time Linear

In this paper, the index-1 notion for arbitrarily switched discrete-time linear singular systems (SDLS) has been introduced. Based on the Bohl exponents of SDLS as well as properties of associated positive switched systems, some necessary and sufficient conditions have been established for exponential stability.

scholarly journals Positivity and stability of fractional descriptor time–varying discrete–time linear systems

2016 ◽  
Vol 26 (1) ◽  
pp. 5-13 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Time Varying ◽  
Fractional Systems ◽  
Kronecker Theorem ◽  
Necessary And Sufficient ◽  
Time Linear

Abstract The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

scholarly journals Output Monomial Reachability and Zero Output Controllability of Positive Switched Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Maryam Riouali ◽  
Fouad Lahmidi ◽  
Abdelwahed Namir
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Sufficient Condition ◽  
Output Controllability ◽  
Positive Switched Systems ◽  
Necessary And Sufficient

In this paper, we present a sufficient condition for the output reachability of discrete-time positive switched systems. Besides, necessary and sufficient conditions for output monomial reachability and zero output controllability are provided. Further, some examples are shown.

scholarly journals Positive 2D Discrete-Time Linear Lyapunov Systems

2009 ◽  
Vol 19 (1) ◽  
pp. 95-106 ◽  
Author(s):  
Przemysław Przyborowski ◽  
Tadeusz Kaczorek
Keyword(s):  
Asymptotic Stability ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Numerical Examples ◽  
Necessary And Sufficient ◽  
Time Linear

Positive 2D Discrete-Time Linear Lyapunov SystemsTwo models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.

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