| Summary: | This paper is concerned with the distributed full- and reduced-order <inline-formula> <math display="inline"> <semantics> <msub> <mi>l</mi> <mn>2</mn> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msub> <mi>l</mi> <mo>∞</mo> </msub> </semantics> </math> </inline-formula> state estimation issue for a class of discrete time-invariant systems subjected to both randomly occurring switching topologies and deception attacks over wireless sensor networks. Firstly, a switching topology model is proposed which uses homogeneous Markov chain to reflect the change of filtering networks communication modes. Then, the sector-bound deception attacks among the communication channels are taken into consideration, which could better characterize the filtering network communication security. Additionally, a random variable obeying the Bernoulli distribution is used to describe the phenomenon of the randomly occurring deception attacks. Furthermore, through an adjustable parameter <i>E</i>, we can obtain full- and reduced-order <inline-formula> <math display="inline"> <semantics> <msub> <mi>l</mi> <mn>2</mn> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msub> <mi>l</mi> <mo>∞</mo> </msub> </semantics> </math> </inline-formula> state estimator over sensor networks, respectively. Sufficient conditions are established for the solvability of the addressed switching topology-dependent distributed filtering design in terms of certain convex optimization problem. The purpose of solving the problem is to design a distributed full- and reduced-order filter such that, in the presence of deception attacks, stochastic external interference and switching topologies, the resulting filtering dynamic system is exponentially mean-square stable with prescribed <inline-formula> <math display="inline"> <semantics> <msub> <mi>l</mi> <mn>2</mn> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msub> <mi>l</mi> <mo>∞</mo> </msub> </semantics> </math> </inline-formula> performance index. Finally, a simulation example is provided to show the effectiveness and flexibility of the designed approach.
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