Somehow, the Hyper-V PowerShell module does not contain a connection function.

Connect-VM.ps1

#requires -Version 3.0
function Connect-VM {
  [CmdletBinding(DefaultParameterSetName='name')]
  param(
    [Parameter(ParameterSetName='name')]
    [Alias('cn')]
    [System.String[]]$ComputerName=$env:COMPUTERNAME,
 
    [Parameter(Position=0,
      Mandatory,ValueFromPipelineByPropertyName,
      ValueFromPipeline,ParameterSetName='name')]
    [Alias('VMName')]
    [System.String]$Name,
 
    [Parameter(Position=0,
      Mandatory,ValueFromPipelineByPropertyName,
      ValueFromPipeline,ParameterSetName='id')]
    [Alias('VMId','Guid')]
    [System.Guid]$Id,
 
    [Parameter(Position=0,Mandatory,
      ValueFromPipeline,ParameterSetName='inputObject')]
    [Microsoft.HyperV.PowerShell.VirtualMachine]$InputObject,
 
    [switch]$StartVM
  )
 
  begin {
    Write-Verbose "Initializing InstanceCount, InstanceCount = 0"
    $InstanceCount=0
  }
 
  process {
    try {
      foreach($computer in $ComputerName) {
        Write-Verbose "ParameterSetName is '$($PSCmdlet.ParameterSetName)'"
 
        if($PSCmdlet.ParameterSetName -eq 'name') {
          # Get the VM by Id if Name can convert to a guid
          if($Name -as [guid]) {
            Write-Verbose "Incoming value can cast to guid"
            $vm = Get-VM -Id $Name -ErrorAction SilentlyContinue
          } else {
            $vm = Get-VM -Name $Name -ErrorAction SilentlyContinue
          }
        } elseif($PSCmdlet.ParameterSetName -eq 'id') {
          $vm = Get-VM -Id $Id -ErrorAction SilentlyContinue
        }
        else {
          $vm = $InputObject
        }
 
        if($vm) {
          Write-Verbose "Executing 'vmconnect.exe $computer $($vm.Name) -G $($vm.Id) -C $InstanceCount'"
          vmconnect.exe $computer $vm.Name -G $vm.Id -C $InstanceCount
        } else {
          Write-Verbose "Cannot find vm: '$Name'"
        }
 
        if($StartVM -and $vm) {
          if($vm.State -eq 'off') {
            Write-Verbose "StartVM was specified and VM state is 'off'. Starting VM '$($vm.Name)'"
            Start-VM -VM $vm
          } else {
            Write-Verbose "Starting VM '$($vm.Name)'. Skipping, VM is not not in 'off' state."
          }
        }
 
        $InstanceCount+=1
        Write-Verbose "InstanceCount = $InstanceCount"
      }
    } catch {
      Write-Error $_
    }
  }
}

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